Sin(2x-pi/2)=sin pi/3

An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0

4 years ago

Yo I need help been stuck on this problem for a while

zimovet [89]

Answer:

i think its orange????????? dunno for sure tho

Step-by-step explanation:

5 0

3 years ago

A stock has a P/E ratio of 3.25 and a earnings per share of $9.25. What is the price per share of the stock?

astra-53 [7]

Answer:

$6.00

Step-by-step explanation:

7 0

3 years ago

I need help please will give brainliest

EleoNora [17]

Answer:

1.) True, because it says three times so you know the x belongs there. Also, you have to follow the order of what the problem says.

2.) False, because it is not in the order of how the problem states it.

3.) False, because if you transfer the fraction to a decimal you get 4.333333. It's not valid.

4.) True, because if you do 7 × 3, it equals to 21. So, 21 - 17 = 4. And Jenny is supposed to have 4 quilts.

Hope it helps! :D

6 0

3 years ago

A package is shaped like a right rectangular prism. Use the dimensions shown to find the total surface area of this package

Slav-nsk [51]

Answer:

22 ft²

Step-by-step explanation:

2[ 2×1 + 3×1 + 3×2 ]

2(2 + 3 + 6)

2(11)

22

5 0

4 years ago